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Finding the Fourth Proportional to 7,078.86, 10,611 and 2,695.14

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Solution

The fourth proportional to 7,078.86, 10,611 and 2,695.14 is: 4,039.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,078.86 : 10,611 = 2,695.14 : x
  2. Step 2: Convert to fraction form
    7,078.86/10,611 = 2,695.14/x
  3. Step 3: Cross multiply
    7,078.86x = 10,611 × 2,695.14
  4. Step 4: Simplify right side
    7,078.86x = 28,598,130.54
  5. Step 5: Solve for x
    x = 28,598,130.54/7,078.86
  6. Step 6: Final answer
    x = 4,039.93

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.